Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations

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Küçük Resim

Tarih

2007-05-15

Dergi Başlığı

Dergi ISSN

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Yayıncı

Elsevier B.V.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

In the present work, by treating the arteries as thin-walled prestressed elastic tubes with a stenosis and the blood as an inviscid fluid we have studied the propagation of weakly nonlinear waves in such a medium, in the longwave approximation, by employing the reductive perturbation method. The variable coefficients KdV and modified KdV equations are obtained depending on the balance between the nonlinearity and the dispersion. By seeking a localized progressive wave type of solution to these evolution equations, we observed that the wave speeds takes their maximum values at the center of stenosis and gets smaller and smaller as one goes away from the stenosis. Such a result seems to reasonable from the physical point of view.

Açıklama

This work was supported by the Turkish Academy of Sciences.

Anahtar Kelimeler

Solitary waves, Tubes with stenosis, Variable coefficient KdV equations, Inviscid fluid, Shock waves, Propagation, Pressure, Arteries, Approximation theory, Blood, Computational methods, Dispersions, Perturbation techniques, Nonlinear waves, Prestressed materials, Korteweg-de Vries equation, Solitons, Water waves

Kaynak

Journal of Computational and Applied Mathematics

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

202

Sayı

2

Künye

Demiray, H. (2007). Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations. Journal of Computational and Applied Mathematics, 202(2), 328-338. doi:10.1016/j.cam.2005.10.043